7(7k+4)-6k=28+k

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Solution for 7(7k+4)-6k=28+k equation:


Simplifying
7(7k + 4) + -6k = 28 + k

Reorder the terms:
7(4 + 7k) + -6k = 28 + k
(4 * 7 + 7k * 7) + -6k = 28 + k
(28 + 49k) + -6k = 28 + k

Combine like terms: 49k + -6k = 43k
28 + 43k = 28 + k

Add '-28' to each side of the equation.
28 + -28 + 43k = 28 + -28 + k

Combine like terms: 28 + -28 = 0
0 + 43k = 28 + -28 + k
43k = 28 + -28 + k

Combine like terms: 28 + -28 = 0
43k = 0 + k
43k = k

Solving
43k = k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-1k' to each side of the equation.
43k + -1k = k + -1k

Combine like terms: 43k + -1k = 42k
42k = k + -1k

Combine like terms: k + -1k = 0
42k = 0

Divide each side by '42'.
k = 0

Simplifying
k = 0

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